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Finding the Third Proportional to 134,988 and 214,538

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Solution

The third proportional to 134,988 and 214,538 is: 340,967.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,988 : 214,538 = 214,538 : x
  2. Step 2: Convert to fraction form
    134,988/214,538 = 214,538/x
  3. Step 3: Cross multiply
    134,988x = 214,538 × 214,538
  4. Step 4: Simplify right side
    134,988x = 46,026,553,444
  5. Step 5: Solve for x
    x = 46,026,553,444/134,988
  6. Step 6: Final answer
    x = 340,967.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.